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Finding the Fourth Proportional to 242,765.20, 364,061.40 and 109,709.20

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Solution

The fourth proportional to 242,765.20, 364,061.40 and 109,709.20 is: 164,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,765.20 : 364,061.40 = 109,709.20 : x
  2. Step 2: Convert to fraction form
    242,765.20/364,061.40 = 109,709.20/x
  3. Step 3: Cross multiply
    242,765.20x = 364,061.40 × 109,709.20
  4. Step 4: Simplify right side
    242,765.20x = 39,940,884,944.88
  5. Step 5: Solve for x
    x = 39,940,884,944.88/242,765.20
  6. Step 6: Final answer
    x = 164,524.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.